Final answer:
Opportunity cost is key in determining comparative advantage, which allows countries to gain from trade by specializing in goods they produce more efficiently. The example provided illustrates how Richland and Prosperity can benefit by focusing on wheat and wine respectively, trading to achieve higher total output.
Step-by-step explanation:
The opportunity cost of producing a good is what must be given up to produce that good. It is crucial in determining comparative advantage, which is when a country can produce a good at a lower opportunity cost than another country. For example, if Richland produces 3 bushels of wheat or 1 barrel of wine per worker, the opportunity cost of 1 bushel of wheat is 0.33 barrels of wine and that of 1 barrel of wine is 3 bushels of wheat. Conversely, if Prosperity produces 1 bushel of wheat or 2 barrels of wine per worker, the opportunity cost of 1 bushel of wheat is 2 barrels of wine while that of 1 barrel of wine is 0.5 bushels of wheat.
According to these figures, Richland has a comparative advantage in wheat based on its lower opportunity cost, and Prosperity has a comparative advantage in wine. By specializing and trading based on these advantages, both countries can enjoy gains from trade. The capacity for greater total output and the ability to consume beyond their own production possibilities exemplify these gains.
If we assume that both Richland and Prosperity have 10 million workers and decide to establish a trade where 1 wine equals 2 wheat, we can calculate the gains from trade and see how each country will benefit by specializing and exchanging goods.